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%I #14 Feb 16 2020 12:47:21
%S 1,6,29,122,464,1648,5583,18280,58337,182480,561686,1706136,5125069,
%T 15249762,45005309,131871638,383966228,1111712440,3202612347,
%U 9184267060,26229945521,74631504716,211620269834,598168622352,1685884643929,4738755368478,13286692506173
%N Area of all nondecreasing Dyck paths of length 2n.
%H E. Barcucci, A. Del Lungo, S. Fezzi and R. Pinzani, <a href="http://dx.doi.org/10.1016/S0012-365X(97)82778-1">Nondecreasing Dyck paths and q-Fibonacci numbers</a>, Discrete Math., 170, 1997, 211-217.
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (10,-39,75,-75,39,-10,1).
%F G.f.: x*(1-4*x+8*x^2-9*x^3+2*x^5)/((1-x)*(1-3*x+x^2)^3).
%F a(n) = Sum_{k=1..n^2} k*A121467(n,k). - _Alois P. Heinz_, Mar 02 2018
%t LinearRecurrence[{10,-39,75,-75,39,-10,1},{1,6,29,122,464,1648,5583},30] (* _Harvey P. Dale_, Feb 16 2020 *)
%Y Cf. A121467.
%K nonn,easy
%O 1,2
%A _Emeric Deutsch_, Jun 14 2001
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